I don't know of any studies supporting unschooling how could one quantify this type of information? There are just too many variables. For an in-depth discussion of unschooling gifted children, I suggest you read Gifted Education Comes Home: A Case for Self-Directed Homeschooling by Lisa Rivero. Rivero shares success stories and outlines a plan to help gifted children achieve academic success.
Should Gifted Children Be Unschooled?
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